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Finding the Fourth Proportional to 4,311.32, 6,469.32 and 1,714.28

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Solution

The fourth proportional to 4,311.32, 6,469.32 and 1,714.28 is: 2,572.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,311.32 : 6,469.32 = 1,714.28 : x
  2. Step 2: Convert to fraction form
    4,311.32/6,469.32 = 1,714.28/x
  3. Step 3: Cross multiply
    4,311.32x = 6,469.32 × 1,714.28
  4. Step 4: Simplify right side
    4,311.32x = 11,090,225.89
  5. Step 5: Solve for x
    x = 11,090,225.89/4,311.32
  6. Step 6: Final answer
    x = 2,572.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.